{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "# SYM-PART\n",
    "\n",
    "The SYM-PART <cite data-cite=\"sym_part\"></cite> problem suite is a multi-modal multi-objective optimization problem (MMOP).\n",
    "**In MMOPs, a solution $y$ in the objective space may have several inverse images in the decision space**.\n",
    "For this reason, an MMOP could have more than one Pareto subsets.\n",
    "\n",
    "The SYM-PART has two variants: SYM-PART simple and SYM-PART rotated. Both of them have the same Pareto front.\n",
    "But their Pareto sets are different."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "## 1. SYM-PART Simple"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "### Pareto subsets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 387,
       "width": 513
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pymoo.problems.multi.sympart import SYMPART, SYMPARTRotated\n",
    "from pymoo.visualization.scatter import Scatter\n",
    "\n",
    "problem = SYMPART()\n",
    "ps = problem.pareto_set()\n",
    "Scatter(title=\"Pareto set\", xlabel=\"$x_1$\", ylabel=\"$x_2$\").add(ps).show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "### Pareto front"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 387,
       "width": 498
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pf = problem.pareto_front()\n",
    "Scatter(title=\"Pareto front\").add(pf).show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. SYM-PART Rotated\n",
    "### Pareto subsets\n",
    "The pareto subsets can be rotated."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 387,
       "width": 504
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from numpy import pi\n",
    "\n",
    "# rotate pi/3 counter-clockwisely\n",
    "problem = SYMPARTRotated(angle=pi/3)\n",
    "ps = problem.pareto_set()\n",
    "Scatter(title=\"Pareto set\", xlabel=\"$x_1$\", ylabel=\"$x_2$\").add(ps).show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "### Pareto front"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 387,
       "width": 498
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pf = problem.pareto_front()\n",
    "Scatter(title=\"Pareto front\").add(pf).show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
